12-267/Navigation
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| # | Week of... | Notes and Links |
|---|---|---|
| 1 | Sep 10 | About This Class.  Monday: Introduction and the Brachistochrone. Tuesday: More on the Brachistochrone, administrative issues. Tuesday Notes. Friday: Some basic techniques: first order linear equations.
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| 2 | Sep 17 | Monday: Separated equations, escape velocities. HW1. Tuesday: Escape velocities, changing source and target coordinates, homogeneous equations. Friday: Reverse engineering separated and exact equations.
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| 3 | Sep 24 | Monday: Solving exact equations, integration factors. HW2. Tuesday: Statement of the Fundamental Theorem. Class Photo. Friday: Proof of the Fundamental Theorem.
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| 4 | Oct 1 | Monday: Last notes on the fundamental theorem. HW3. Tuesday Hour 1: The chain law, examples of variational problems. Tuesday Hour 2: Deriving Euler-Lagrange. Friday: Reductions of Euler-Lagrange.
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| 5 | Oct 8 | Monday is thanksgiving. Tuesday: Lagrange multiplyers and the isoperimetric inequality. HW4. Friday: More Lagrange multipliers, numerical methods.
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| 6 | Oct 15 | Monday: Euler and improved Euler. Tuesday: Evaluating the local error, Runge-Kutta, and a comparison of methods. Friday: Numerical integration, high order constant coefficient homogeneous linear ODEs.
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| 7 | Oct 22 | Monday: Multiple roots, reduction of order, undetermined coefficients. HW5. Term Test on Friday at GB 404 (Sample).
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| 8 | Oct 29 | HW6; Nov 4 is the last day to drop this class |
| 9 | Nov 5 | |
| 10 | Nov 12 | Monday-Tuesday is UofT November break, HW7 on web Wednesday |
| 11 | Nov 19 | HW8 |
| 12 | Nov 26 | HW9 |
| 13 | Dec 3 | UofT Fall Semester ends Wednesday; Wednesday is UofT Monday, we'll hold class! |
| F1 | Dec 10 | Finals |
| F2 | Dec 17 | Finals |
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